Properties

Label 7840.s
Number of curves $1$
Conductor $7840$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 7840.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.s1 7840j1 \([0, 1, 0, -65, -337]\) \(-153664/125\) \(-25088000\) \([]\) \(1152\) \(0.11797\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7840.s do not have complex multiplication.

Modular form 7840.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} - 2 q^{11} - 2 q^{13} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display